Extension of continuous functions and weakly developable spaces
General Topology
2013-10-03 v2
Abstract
The aim of this paper is to investigate weakly developable spaces. For a comparison with semi-metrizable spaces, we introduce and study a class of spaces among those of weakly developable spaces, semimetrizable spaces and first countable spaces having a G_delta-diagonal. Some results are obtained and applications to the problem of extending continuous functions are discussed.
Cite
@article{arxiv.1309.5484,
title = {Extension of continuous functions and weakly developable spaces},
author = {Boualem Alleche},
journal= {arXiv preprint arXiv:1309.5484},
year = {2013}
}